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Periodic nonlinear Schrödinger equation with application to photonic crystals

A. Pankov
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Abstract

We present basic results, known and new, on nontrivial solutions of periodic stationary nonlinear Schrödinger equations. We also sketch an application to nonlinear optics and discuss some open problems.

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A. Pankov. 2004-05-05. Periodic nonlinear Schrödinger equation with application to photonic crystals. https://arxiv.org/abs/math/0404450

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